Given y? = - 12x
The above equation is involving y?
Its axis is x - axis
Also coefficient of x is negative (-12)
Hence we use equation
y? = - 4ax
Comparing
y2=-12x....(1) [Given]
y2= - 4ax
From (1) and (2)
- 12x = - 4ax
4ax = 12x
a = 3
Coordinates of focus is (-a,0)
i.e focus (-3,0)
Equation of directix is
X = a
x = 3
Latus rectum = 4a
= 4 x 3
= 12 Answer